A077492 -id:A077492 - cp's OEIS frontend

A069534 Smallest multiple of 5 with digit sum n.

10, 20, 30, 40, 5, 15, 25, 35, 45, 55, 65, 75, 85, 95, 195, 295, 395, 495, 595, 695, 795, 895, 995, 1995, 2995, 3995, 4995, 5995, 6995, 7995, 8995, 9995, 19995, 29995, 39995, 49995, 59995, 69995, 79995, 89995, 99995, 199995, 299995, 399995, 499995, 599995

Offset: 1

Amarnath Murthy, Apr 01 2002

a(6) onwards the pattern is evident.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,10,-10).

Cf. A069521 to A069530, A069532, A069533.

Cf. A077492.

t={}; Do[i=5; While[Total[IntegerDigits[i]]!=n,i=i+5]; AppendTo[t,i],{n,46}]; t (* Jayanta Basu, May 19 2013 *)
With[{f=5*Range[200000]},Flatten[Table[Select[f,Total[IntegerDigits[#]] == n&,1],{n,50}]]] (* Harvey P. Dale, Dec 31 2013 *)

A069534(n)=(((n+4)%9+1)*10^((n+4)\9)-5)*10^(n<5) \\ M. F. Hasler, Sep 16 2016

a(n) = ((n+4)%9+1)*10^floor((n+4)/9)-5 for all n > 4, where % is the binary mod/remainder operator. - M. F. Hasler, Sep 16 2016
From Chai Wah Wu, Sep 15 2020: (Start)
a(n) = a(n-1) + 10*a(n-9) - 10*a(n-10) for n > 14.
G.f.: 5*x*(72*x^13 - 18*x^12 - 18*x^11 - 18*x^10 - 18*x^9 + 2*x^8 + 2*x^7 + 2*x^6 + 2*x^5 - 7*x^4 + 2*x^3 + 2*x^2 + 2*x + 2)/((x - 1)*(10*x^9 - 1)). (End)
a(n) = 5 * A077492(n). - Alois P. Heinz, Sep 15 2020

More terms from Ray Chandler, Jul 28 2003

cp's OEIS Frontend

A088402 Duplicate of A077492.

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A069534 Smallest multiple of 5 with digit sum n.

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